This is really cool. My suggestion is similar to (perhaps the same as) jameshart's. I want to be able to form a sequence of known steps in flat space (say, dr

This is really cool. My suggestion is similar to (perhaps the same as) jameshart's. I want to be able to form a sequence of known steps in flat space (say, draw a square), then see what that same sequence of steps produces in other spaces. It may help build some sort of intuition for the different spaces.